Abstract Details

**Defining Orch: Dodecanion geometric algebra and space-time-topology-prime metric** Anirban Bandyopadhyay , Jay Sanguinetti, Pushpendra Singh, Pathik Sahoo, Stuart Hameroff, (Advanced Scanning Probe Micros, National Institute for Materials Science, Tsukuba, Ibaraki Japan) **C14**

We propose a unit of consciousness following the Orch-OR, Penrose-Hameroff proposal of consciousness within the theoretical framework of Fractal Information Theory, FIT, we call this unit "Orch". We use geometric tensor algebra formulated for time crystal by Singh et al (Ref 1, 2), to build a mathematical form of all five major requirements of Orch-OR theory. This is not a complete representation of all defined & required features of Orch-OR, however, we mark a beginning. We would scientifically argue using time crystal (Ref 3) how systematically one could build an App for quantifying and understanding the degree of consciousness for any life forms even for those like paramecium, which has no neurons. Using pure geometry and conformation network of information processing through various layers of a life form we have invented a dedicated Hamiltonian and a dedicated metric exclusively for this purpose. We argue that this is the most intensively built theory for any system. We would compare Phi vs Orch if one calculates, how do the parameters differ. Orch depends on the symmetry of the arrangement of a system not the number of nodes like in Phi, etc.
1. Pushpendra Singh, Pathik Sahoo, Komal Saxena, Subrata Ghosh, Satyajit Sahu, Kanad Ray, Daisuke Fujita and Anirban Bandyopadhyay; A space-time-topology-prime, stTS metric for a self-operating mathematical universe uses Dodecanion geometric algebra of 1-20D complex vectors, (LNNS, Lecture notes on networks and signals; Springer Nature, 2020; in press)
2. Pushpendra Singh, Pathik Sahoo, Komal Saxena, Subrata Ghosh, Satyajit Sahu, Kanad Ray, Daisuke Fujita and Anirban Bandyopadhyay; Quaternion, octonion to dodecanion manifold: stereographic projections from infinity lead to a self-operating mathematical universe AISC (Advanced intelligence systems and computing) Springer Nature, 2020, (in press)
3. Shruthi Reddy, Dheeraj Sonker, Pushpendra Singh, Komal Saxena, Surabhi Singh, Rutuja Chhajed, Samanyu Tiwari, K. V. Karthik, Subrata Ghosh, Kanad Ray Anirban Bandyopadhyay, A Brain-like Computer Made of Time Crystal: Could a Metric of Prime Alone Replace a User and Alleviate Programming Forever? in Studies in Computational Intelligence vol. 761, 1-44, (2018);, Springer Nature Singapore Pvt. Ltd, ISBN: 978-981-10-8048-7; https://doi.org/10.1007/978-981-10-8049-4_1